d. Predict the waiting time when there are 18 customers in the store.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.6: Applications And The Perron-frobenius Theorem
Problem 22EQ
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i only want part D to be solved

A critically important aspect of customer service in a supermarket is the waiting time at the checkout (defined as the time the customer enters the line until he or she is served). Data were collected during time periods where there were a constant
number of checkout counters open. The total number of customers in the store and the waiting times (in minutes) were recorded. The results are displayed in the accompanying table. Complete parts (a) through (d).
E Click the icon to view the data table.
.....
a. Construct a scatter diagram. Choose the correct graph below.
OA.
Ов.
OC.
OD.
6-
50-
6-
50
50
50
Customers
Time
Customers
Time
b. Assuming a linear relationship, use the least-squares method to find the regression coefficients b, and b,.
bo
= -0.5514
Data table
b, = 0.1441
(Round to four decimal places as needed.)
Full data set O
Day Customers Time
16 1.43
20 1.68
9 0,95
5 0.96
17 1.57
30 3.57
Day Customers Time
22 2.87
17 1.71
24 2.52
16 2.44
c. Interpret the meaning of the slope, b,, in this problem. Choose the correct answer below.
16
17
2
O A. The approximate number of customers when the waiting time is 0 minutes is b,.
3
4
18
19
20
B. For each increase of one customer in the store, the waiting time is expected to decrease by b, minutes.
5
22 3.17
16 1.97
14 0.76
O C. For each increase of one minute of waiting time, the number of customers in the store is expected to increase by b,.
6
21
26 3.42
11 0.31
10 0.77
7
22
D. For each increase of one customer in the store, the waiting time is expected to increase by b, minutes.
8
9
10
19 1.56
28 3.89
23
24
5
d. Predict the waiting time when there are 18 customers in the store.
11 1.28
20 2.97
34 4.16
23 3.52
8 0.16
17 2.36
25
26
27
28
18 1.54
21 1.88
20 3.07
30 3.76
37 4.11
40 5.68
11
|minutes
12
(Round to two decimal places as needed.)
13
14
29
30
15
Customers
Transcribed Image Text:A critically important aspect of customer service in a supermarket is the waiting time at the checkout (defined as the time the customer enters the line until he or she is served). Data were collected during time periods where there were a constant number of checkout counters open. The total number of customers in the store and the waiting times (in minutes) were recorded. The results are displayed in the accompanying table. Complete parts (a) through (d). E Click the icon to view the data table. ..... a. Construct a scatter diagram. Choose the correct graph below. OA. Ов. OC. OD. 6- 50- 6- 50 50 50 Customers Time Customers Time b. Assuming a linear relationship, use the least-squares method to find the regression coefficients b, and b,. bo = -0.5514 Data table b, = 0.1441 (Round to four decimal places as needed.) Full data set O Day Customers Time 16 1.43 20 1.68 9 0,95 5 0.96 17 1.57 30 3.57 Day Customers Time 22 2.87 17 1.71 24 2.52 16 2.44 c. Interpret the meaning of the slope, b,, in this problem. Choose the correct answer below. 16 17 2 O A. The approximate number of customers when the waiting time is 0 minutes is b,. 3 4 18 19 20 B. For each increase of one customer in the store, the waiting time is expected to decrease by b, minutes. 5 22 3.17 16 1.97 14 0.76 O C. For each increase of one minute of waiting time, the number of customers in the store is expected to increase by b,. 6 21 26 3.42 11 0.31 10 0.77 7 22 D. For each increase of one customer in the store, the waiting time is expected to increase by b, minutes. 8 9 10 19 1.56 28 3.89 23 24 5 d. Predict the waiting time when there are 18 customers in the store. 11 1.28 20 2.97 34 4.16 23 3.52 8 0.16 17 2.36 25 26 27 28 18 1.54 21 1.88 20 3.07 30 3.76 37 4.11 40 5.68 11 |minutes 12 (Round to two decimal places as needed.) 13 14 29 30 15 Customers
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